Do I need the Pro Plus plan to see terminal procedures or the moving map?

No, all ForeFlight subscriptions include aeronautical charts, instrument procedures, and taxi diagrams for the region you purchase. Upgrading to Pro Plus adds geo-referencing in order to see your aircraft's GPS position on the terminal procedures.

The moving map and geo-referencing on VFR sectionals and IFR charts is included with all ForeFlight subscriptions. You can compare all of the features that are included with ForeFlight plans here.